Pith Number

pith:TGDTOFDZ

pith:2016:TGDTOFDZJBTHZZEP6EXVMNTXNM

not attested not anchored not stored refs pending

A study of symplectic integrators for planetary system problems: error analysis and comparisons

David M. Hernandez (MIT), Walter Dehnen (Leicester)

arxiv:1612.05329 v2 · 2016-12-16 · astro-ph.EP · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGDTOFDZJBTHZZEP6EXVMNTXNM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:45:32.191152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998737147948667ce48ff12f5636776b365decca12bc302aa1033190ca50e133

Aliases

arxiv: 1612.05329 · arxiv_version: 1612.05329v2 · doi: 10.48550/arxiv.1612.05329 · pith_short_12: TGDTOFDZJBTH · pith_short_16: TGDTOFDZJBTHZZEP · pith_short_8: TGDTOFDZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TGDTOFDZJBTHZZEP6EXVMNTXNM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 998737147948667ce48ff12f5636776b365decca12bc302aa1033190ca50e133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91d7c49a963cba48e2671327e0a59e25d9724ce602619dfa421f90b9dd661d4",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2016-12-16T01:25:31Z",
    "title_canon_sha256": "fba497aeff7423e7f1aa1f447d786dda66020a3f6d888a2ee316fe159ee376b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05329",
    "kind": "arxiv",
    "version": 2
  }
}